固体发动机药柱热线粘弹性边界元分析

BOUNDARY ELEMENT ANALYSIS OF HOT-LINEAR VISCOELASTICITY FOR SOLID MOTOR GRAIN

关键词:  边界元  固体推进剂  粘弹性

Key words:  Boundary element method  Solid propellant  Viscoelasticity.

摘要:

采用遗传积分形式的本构关系,推导了热线粘弹性材料时域边界元公式。由于把与时间有关的剪切模量G(t)表示成Pnony级数的形式,因而可用递推公式较方便地计算粘弹性记忆应力。本文提出的方法比以前的对应原理方法有较广的应用范围。为了验证提出的方法,编制了二维粘弹性边界元程序。两个算例的数值结果表明:本方法具有精度高,计算机解题快,占内存少等优点。

Abstract:

A boudary element method of time domain is developed for analyzing stresses and deformations in solid propellant grain cast in engine shell. The method is based on the assumption of linear viscoelasticity with hereditary integral form of stresse-strain relation, constant bulk modulus, homogenous,and isotropic material. In order to examine the proposed method, a two-dimensional boundary element program of plane strain is worked out. The solutions for two simple problems are compared with exact and other approximate solution. Numerical results show that proposed method has the advantage of high precision, low computer storage and short solution times.